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KIAM Preprint № 34, Moscow, 2016
Authors: Alexeev A.K., Bondarev A. E.
On important information for inverse problems and its visualization
Abstract:
The «important information» is considered as the formalization of the intuitive notions of the information related with «goal», «instruction», «control», «intention». The important information corresponds the knowledge of the movement in the control variables space that is necessary to achieve the goal with the known uncertainty under the present system state. The important information has the vector (goal functional gradient) and the tensor (Fisher’s information matrix) components. For inverse problems vector component transfer for such information is described by adjoint equations. The illustrations are provided that present the generation and transfer of the vector component of important information in inverse computation fluid dynamics problems. We also consider the communication of important information to other existing information theories.
Keywords:
important information, goal functional gradient, Fisher’s information matrix, adjoint equations, inverse problems
Publication language: russian,  pages: 20
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Alexeev Alexey Kirillovich,  aleksey.k.alekseev@gmail.com,  Московский физико-технический институт (государственный университет)
  • Bondarev Alexander Evgenyevich,  bond@keldysh.ruorcid.org/0000-0003-3681-5212KIAM RAS